Characteristic conditions of the generation of \(C_0\) semigroups in a Hilbert space (Q1576942)
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scientific article; zbMATH DE number 1497249
| Language | Label | Description | Also known as |
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| English | Characteristic conditions of the generation of \(C_0\) semigroups in a Hilbert space |
scientific article; zbMATH DE number 1497249 |
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Characteristic conditions of the generation of \(C_0\) semigroups in a Hilbert space (English)
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30 January 2003
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The authors characterize the generator \(A\) of a \(C_0\) semigroup on a Hilbert space \(H\) by estimates of the form \(\sup_{\sigma>\sigma_0}\int_{\mathbb R} \|R(\sigma +i\tau, A)x\|^2 dr < \infty\), \(x \in H\), (and similarly for the adjoint \(A^*\)).
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\(C_0\)-semigroup
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